Graph states in phase space

DOI10.1088/1751-8113/45/21/215303zbMATH Open1301.81091arXiv1007.1751OpenAlexW3098887985MaRDI QIDQ2893136

Author name not available (Why is that?)

Publication date: 26 June 2012

Published in: (Search for Journal in Brave)

Abstract: The phase space for a system of $n$ qubits is a discrete grid of $2^{n}imes{2}^n$ points, whose axes are labeled in terms of the elements of the finite field $Gal{2}^n$ to endow it with proper geometrical properties. We analyze the representation of graph states in that phase space, showing that these states can be identified with a class of non-singular curves. We provide an algebraic representation of the most relevant quantum operations acting on these states and discuss the advantages of this approach.

Full work available at URL: https://arxiv.org/abs/1007.1751

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